(Solved):
QUESTION 1 [Doubly Symmetric Beams with Inclined Loads][20 points] A simply supported beam ...
QUESTION 1 [Doubly Symmetric Beams with Inclined Loads][20 points] A simply supported beam of span length \( \mathrm{L} \) carries a vertical concentrated load \( \mathrm{P} \) acting through the centroid \( \mathrm{C} \) at the midpoint of the span (see Figure Q1). The beam is attached to supports inclined at an angle \( \alpha \) to the horizontal. Data for the beam are IPN 280 section, \( L=3.5 \mathrm{~m}, \mathrm{P}=18 \mathrm{KN} \), and \( \alpha=26.57^{\circ} \). Use Table \( \mathrm{F}-2 \) of Appendix A for the dimensions and properties of the beam. 1.1 Determine the orientation of the neutral axis [7] 1.2 Calculate the maximum stresses at the outside corners of the cross-section (points \( A \), B, D, and E) due to the load P.